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Finding the Fourth Proportional to 6,214.55, 9,306.25 and 3,714.20

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Solution

The fourth proportional to 6,214.55, 9,306.25 and 3,714.20 is: 5,561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.55 : 9,306.25 = 3,714.20 : x
  2. Step 2: Convert to fraction form
    6,214.55/9,306.25 = 3,714.20/x
  3. Step 3: Cross multiply
    6,214.55x = 9,306.25 × 3,714.20
  4. Step 4: Simplify right side
    6,214.55x = 34,565,273.75
  5. Step 5: Solve for x
    x = 34,565,273.75/6,214.55
  6. Step 6: Final answer
    x = 5,561.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.